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Published February 11, 2011 | Published
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Power-Law Spin Correlations in a Perturbed Spin Model on a Honeycomb Lattice

Abstract

We consider the spin- 12 model on the honeycomb lattice in the presence of a weak magnetic field h_α ≪ 1. Such a perturbation destroys the exact integrability of the model in terms of gapless fermions and static Z_2 fluxes. We show that it results in the appearance of a long-range tail in the irreducible dynamic spin correlation function: ≪s^z(t,r)s^z(0,0)≫ α h^2_z f(tr), where f(t,r) α [max(t,r]^(-4) is proportional to the density polarization function of fermions.

Additional Information

© 2011 American Physical Society. Received 12 September 2010; revised 3 January 2011; published 11 February 2011. We are grateful to L. B. Ioffe and A. S. Ioselevich for useful discussions. This research was supported by the RFBR Grant No. 10-02-00554.

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